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Finding the Fourth Proportional to 109,871.62, 164,496.12 and 72,318.76

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Solution

The fourth proportional to 109,871.62, 164,496.12 and 72,318.76 is: 108,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.62 : 164,496.12 = 72,318.76 : x
  2. Step 2: Convert to fraction form
    109,871.62/164,496.12 = 72,318.76/x
  3. Step 3: Cross multiply
    109,871.62x = 164,496.12 × 72,318.76
  4. Step 4: Simplify right side
    109,871.62x = 11,896,155,423.21
  5. Step 5: Solve for x
    x = 11,896,155,423.21/109,871.62
  6. Step 6: Final answer
    x = 108,273.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.